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Lerok [7]
3 years ago
13

80 is 25 percent of what number

Mathematics
1 answer:
IgorLugansk [536]3 years ago
8 0
<span>So we want to know the number from which we take 25% and get 80. If the number we are looking for is x, then the equation to find that x would be: (25/100)*x=80 which says twenty five percent out of x is equal 80. So, x=(80*100)/25. And finally, x= 8000/25=320. So, 25% out of 320 is 80.</span>
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A bridge connects to a tunnel as shown in the figure. The bridge is 180 feet above the ground, At a distance of 235 feet atong t
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180^2 + 235^2 = (cliff base to point on bridge)^2
32400 + 55225 = 87625
so cliff base to point on bridge = sqrt of 87625.
Then notice 87625 + d^2 = (x+180)^2
since x^2 +235^2 = d^2,
substitute (x^2 + 235^2) for d^2, like this:
87625 + x^2 + 235^2 = (x+180)^2
87625 + x^2 + 55225 = x^2 + 360x + 32400
87625 + 55225 - 32400 = x^2 - x^2 +360x
360x = 110450
x = about 306.8 feet
h = x+180, so h = 486.8 feet
Remember d^2 = x^2 + 235^2, so
d^2 = 306.8^2 + 235^2
d^2 = 149354.6489
d = about 386.46 feet
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Fourth option

Step-by-step explanation:

When graphing the given inequalities you will get a region like the one shown in the attached image. This region is delimited by 4 straight

x = 0\\\\y = 0\\\\9x + 6y = 400\\\\7x + 10y = 400

The points indicated at the ends of the region are the maximum possible values of x and y.

We must test these points in the objective function P = 2x + 2.5y and see which point maximizes the value of P.

<em><u>Remember that the boundaries of the region are not included. </u></em>

We can prove the point <em>x = 0</em> and <em>y = 39</em> because (0,4) is not included in the region.

P = 2(0) + 2.5(39) = 97.5

Now we test the point <em>x = 33</em> and <em>y = 16 </em>

P = 2(33) + 2.5(16) = 106

Now we test the point <em>x = 44</em> and <em>y = 0</em>

P = 2(44) + 2.5(0) = 88

Finally the optimal value is:

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